453734400 has 312 divisors, whose sum is σ = 1722600064. Its totient is φ = 103219200.

The previous prime is 453734399. The next prime is 453734401. The reversal of 453734400 is 4437354.

It is an interprime number because it is at equal distance from previous prime (453734399) and next prime (453734401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453734401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2150295 + ... + 2150505.

Almost surely, 2^453734400 is an apocalyptic number.

453734400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861300032).

453734400 is an abundant number, since it is smaller than the sum of its proper divisors (1268865664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

453734400 is a wasteful number, since it uses less digits than its factorization.

453734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 453734400 is about 21301.0422280226. The cubic root of 453734400 is about 768.4233776715.

The spelling of 453734400 in words is "four hundred fifty-three million, seven hundred thirty-four thousand, four hundred".